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Finding the Fourth Proportional to 330.50, 456.14 and 209.25

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Solution

The fourth proportional to 330.50, 456.14 and 209.25 is: 288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.50 : 456.14 = 209.25 : x
  2. Step 2: Convert to fraction form
    330.50/456.14 = 209.25/x
  3. Step 3: Cross multiply
    330.50x = 456.14 × 209.25
  4. Step 4: Simplify right side
    330.50x = 95,446.25
  5. Step 5: Solve for x
    x = 95,446.25/330.50
  6. Step 6: Final answer
    x = 288.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.